The frequency of AM radio channels is typically on the order of 10 55 HzHz or 10 66 HzHz . What is the wavelength of these waves
Question
The frequency of AM radio channels is typically on the order of 10 55 HzHz or 10 66 HzHz . What is the wavelength of these waves
Solution
The wavelength (λ) of a wave can be calculated using the formula:
λ = c / f
where:
- λ is the wavelength,
- c is the speed of light (approximately 3 x 10^8 meters per second), and
- f is the frequency of the wave.
Given that the frequency of AM radio channels is typically on the order of 10^5 Hz or 10^6 Hz, we can substitute these values into the formula to find the corresponding wavelengths.
For a frequency of 10^5 Hz:
λ = (3 x 10^8 m/s) / (10^5 Hz) = 3000 meters
For a frequency of 10^6 Hz:
λ = (3 x 10^8 m/s) / (10^6 Hz) = 300 meters
So, the wavelength of these waves is typically on the order of thousands of meters or hundreds of meters, respectively.
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